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Finding the Fourth Proportional to 9,297.75, 12,830.90 and 5,106

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Solution

The fourth proportional to 9,297.75, 12,830.90 and 5,106 is: 7,046.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.75 : 12,830.90 = 5,106 : x
  2. Step 2: Convert to fraction form
    9,297.75/12,830.90 = 5,106/x
  3. Step 3: Cross multiply
    9,297.75x = 12,830.90 × 5,106
  4. Step 4: Simplify right side
    9,297.75x = 65,514,549.87
  5. Step 5: Solve for x
    x = 65,514,549.87/9,297.75
  6. Step 6: Final answer
    x = 7,046.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.